#### Answer

x=4 y=-1

#### Work Step by Step

You have the equations x-3y=7 and 3x+2y=10. Solve the first equation for X:
x-3y=7 -add 3y to both sides-
x=7+3y
Substitute x=7+3y into the second equation:
3x+2y=10
3(7+3y)+2y=10 -distribute-
21+9y+2y=10 -simplify like terms-
21+11y=10 -subtract 21 from both sides-
11y=-11 -divide both sides by 11-
y=-1
Substitute y=-1 into one of the equations:
x-3(-1)=7 -distribute-
x+3=7 -subtract 3 from both sides-
x=4
Check your work:
3(4)+2(-1)=10
12-2=10
10=10
The solution is (4,-1)